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Left-hand side and right-hand side of an equation
In mathematics, LHS is informal shorthand for the left-hand side of an equation. Conversely, RHS is the right-hand side. Each is solely a name for a term as part of an expression; and they are in practice interchangeable, since equality is symmetric. This abbreviation is seldom if ever used in print; it is very informal.
More generally, these terms may apply to an inequation or inequality. In the inequality case, there is no symmetry. The right-hand side is everything on the right side of a test operator in an expression. Conversely, the left hand side is everything on the left side.
Some examples
In
- 2a + 5 = a/3,
the term
- a/3
is the RHS.
In
- x ≤ 10,
just
- 10
is the RHS.
See also
Syntax
More abstractly, when using infix notation
- T*U
the term T stands as the left-hand side and U as the right-hand side of the operator *. This usage is less common, though.
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